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MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS

Yıl 2013, Cilt: 5 Sayı: 3, 38 - 52, 01.09.2013

Öz

This paper analyses the mixed convection flow of an incompressible micropolar fluid along a semi-inŞnite vertical plate with uniform heat and mass flux in the presence of transverse magnetic Şeld. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using local similarity transformations and then solved numerically using the Keller-box method. The non-dimensional velocity components, microrotation, temperature and concentration are presented graphically for various values of magnetic parameter, Hall parameter, Ion-slip parameter, Dufour and Soret numbers. In addition, the Nusselt number, the Sherwood number, the skin-friction coefficient, the wall couple stress are shown in a tabular form

Kaynakça

  • [1] Beg O. A., Bhargava R., Rawat S., Takhar H. S., Beg T. A., A study of steady bouncy driven dissipative micropolar free convection heat and mass transfer in Darcian porous regime with chemical reaction. Nonlinear Analysis: Modelling Control, 12:157-180, 2007.
  • [2] Anna K., Louay M. and Pedro J., A Simpli_ed Model of Heat and Mass Transfer Between Air and Falling-Film Desiccant in a Parallel-Plate Dehumidifier, J of heat tran, Vol. 131 / 052001-1, 2009.
  • [3] Lloyd, J. R. and Sparrow, E. M., Combined Forced and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transfer, Vol. 1 3, pp. 434-438, 1970.
  • [4] Mahdy A., Mixed convection heat and mass transfer on a vertical wavy plate embedded in a saturated porous media (pst/psmc), Int. J. of Appl. Math and Mech. 5(7), pp. 88 - 97, 2009.
  • [5] Alam M. S. and Rahman M. M, Dufour and Soret effects on mixed convection flow past a Vertical porous at plate with variable suction, Nonlinear analysis: Modeling and Control, 11 , 3-12, 2006.
  • [6] Gorla, R. S. R., Mixed Convection in a Micropolar Fluid Along a Vertical Surface with Uniform Heat Flux, Int. J. Eng. Sci., Vol. 30, pp. 349-358,1 992.
  • [7] Kafoussias N. G. and Williams E. W., Thermal-diffusion and diffusion-thermo effects on Mixed free forced convective and mass transfer boundary layer flow with temperature dependent viscosity, International Journal of Engineering Science, vol. 33, no. 9, pp. 13691384, 1995.
  • [8] Awad F., and Sibanda P., Dufour and Soret effects on heat and mass transfer in a micropolar fluid in a horizontal channel. WSEAS Transaction on heat and mass transfer, 5:165-177, 2010.
  • [9] Srinivasacharya D and Ramreddy D, Mixed convection heat and mass transfer in a micropolar fluid with soret and Dufour effect, Advances in App. Math and Mech. 3(4), 2011, 389-400.
  • [10] Hossian, M. A. and Ahmed, M., MHD Forced and Free Convection Boundary Layer Near the Leading Edge, Int. J. Heat Mass Transfer, Vol. 33(3), pp. 571-575, 1990.
  • [11] Chamkha J, "MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with hall effects," Applied Mathematical Modelling, vol. 21, no. 10, pp. 603-609, 1997.
  • [12] Seddeek M. A., The effects of Hall and ion-slip currents on a magneto-micropolar fluid and the heat transfer over a non-isothermal stretching sheet with suction and blowing. Proc. R. Soc, 1, 457, (2001).
  • [13] Shateyi S., Motsa S. S., Sibanda P., The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media, Mathematical Problems in Engineering Volume 2010, Article ID 627475, 20 pages doi:10.1155/2010/627475.
  • [14] Salem M., and Abd El-Aziz M, "Effect of hall currents and chemical reaction on Hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption," Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236-1254, 2008.
  • [15] Motsa S. S. and Shateyi S., The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique, Vol 2012, Article ID 689015, 30 pages.
  • [16] Nasser Elgazery. S., The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity, Communications in Nonlinear Science and Numerical Simulation 14 (2009) 1267-1283.
  • [17] Ericksen J.C. Anisotropic uids. Arch. Ration. Mech. Anal. 4: 231-237, 1960.
  • [18] Ericksen J.C. Transversely isotropic uids. Colloid Polym. Sci. 173: 117-122, 1960.
  • [19] Hoyt J.W., Fabula A.G. US Naval Ordinance Test Station Report, 1964
  • [20] Eringen A.C., Theory of Micropolar Fluids. J. Math. Mech. 16: 1-18, 1966.
  • [21] Eringen A.C., Theory of Thermo micro Fluids. J. Math. Anal. Appl. 38: 480-496, 1972.
  • [22] Cebeci T. and Bradshaw P., Physical and computational aspects of convective heat transfer, Springer-Verlag, New York, 1984.
  • [23] Lin H. T. and Lin L. K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Pradtl number. Int. J. Heat Mass Transfer, 30:1111-1118,1987.
  • [24] Yih K. A., MHD forced convection flow adjacent to a non-isothermal wedge. Int. Commun. Heat Mass Transfer, 26:819827, 1999.
Yıl 2013, Cilt: 5 Sayı: 3, 38 - 52, 01.09.2013

Öz

Kaynakça

  • [1] Beg O. A., Bhargava R., Rawat S., Takhar H. S., Beg T. A., A study of steady bouncy driven dissipative micropolar free convection heat and mass transfer in Darcian porous regime with chemical reaction. Nonlinear Analysis: Modelling Control, 12:157-180, 2007.
  • [2] Anna K., Louay M. and Pedro J., A Simpli_ed Model of Heat and Mass Transfer Between Air and Falling-Film Desiccant in a Parallel-Plate Dehumidifier, J of heat tran, Vol. 131 / 052001-1, 2009.
  • [3] Lloyd, J. R. and Sparrow, E. M., Combined Forced and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transfer, Vol. 1 3, pp. 434-438, 1970.
  • [4] Mahdy A., Mixed convection heat and mass transfer on a vertical wavy plate embedded in a saturated porous media (pst/psmc), Int. J. of Appl. Math and Mech. 5(7), pp. 88 - 97, 2009.
  • [5] Alam M. S. and Rahman M. M, Dufour and Soret effects on mixed convection flow past a Vertical porous at plate with variable suction, Nonlinear analysis: Modeling and Control, 11 , 3-12, 2006.
  • [6] Gorla, R. S. R., Mixed Convection in a Micropolar Fluid Along a Vertical Surface with Uniform Heat Flux, Int. J. Eng. Sci., Vol. 30, pp. 349-358,1 992.
  • [7] Kafoussias N. G. and Williams E. W., Thermal-diffusion and diffusion-thermo effects on Mixed free forced convective and mass transfer boundary layer flow with temperature dependent viscosity, International Journal of Engineering Science, vol. 33, no. 9, pp. 13691384, 1995.
  • [8] Awad F., and Sibanda P., Dufour and Soret effects on heat and mass transfer in a micropolar fluid in a horizontal channel. WSEAS Transaction on heat and mass transfer, 5:165-177, 2010.
  • [9] Srinivasacharya D and Ramreddy D, Mixed convection heat and mass transfer in a micropolar fluid with soret and Dufour effect, Advances in App. Math and Mech. 3(4), 2011, 389-400.
  • [10] Hossian, M. A. and Ahmed, M., MHD Forced and Free Convection Boundary Layer Near the Leading Edge, Int. J. Heat Mass Transfer, Vol. 33(3), pp. 571-575, 1990.
  • [11] Chamkha J, "MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with hall effects," Applied Mathematical Modelling, vol. 21, no. 10, pp. 603-609, 1997.
  • [12] Seddeek M. A., The effects of Hall and ion-slip currents on a magneto-micropolar fluid and the heat transfer over a non-isothermal stretching sheet with suction and blowing. Proc. R. Soc, 1, 457, (2001).
  • [13] Shateyi S., Motsa S. S., Sibanda P., The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media, Mathematical Problems in Engineering Volume 2010, Article ID 627475, 20 pages doi:10.1155/2010/627475.
  • [14] Salem M., and Abd El-Aziz M, "Effect of hall currents and chemical reaction on Hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption," Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236-1254, 2008.
  • [15] Motsa S. S. and Shateyi S., The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique, Vol 2012, Article ID 689015, 30 pages.
  • [16] Nasser Elgazery. S., The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity, Communications in Nonlinear Science and Numerical Simulation 14 (2009) 1267-1283.
  • [17] Ericksen J.C. Anisotropic uids. Arch. Ration. Mech. Anal. 4: 231-237, 1960.
  • [18] Ericksen J.C. Transversely isotropic uids. Colloid Polym. Sci. 173: 117-122, 1960.
  • [19] Hoyt J.W., Fabula A.G. US Naval Ordinance Test Station Report, 1964
  • [20] Eringen A.C., Theory of Micropolar Fluids. J. Math. Mech. 16: 1-18, 1966.
  • [21] Eringen A.C., Theory of Thermo micro Fluids. J. Math. Anal. Appl. 38: 480-496, 1972.
  • [22] Cebeci T. and Bradshaw P., Physical and computational aspects of convective heat transfer, Springer-Verlag, New York, 1984.
  • [23] Lin H. T. and Lin L. K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Pradtl number. Int. J. Heat Mass Transfer, 30:1111-1118,1987.
  • [24] Yih K. A., MHD forced convection flow adjacent to a non-isothermal wedge. Int. Commun. Heat Mass Transfer, 26:819827, 1999.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA66BY27BV
Bölüm Makaleler
Yazarlar

Mekonnen Shiferaw Ayano Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 5 Sayı: 3

Kaynak Göster

APA Ayano, M. S. (2013). MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. International Journal of Engineering and Applied Sciences, 5(3), 38-52.
AMA Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. Eylül 2013;5(3):38-52.
Chicago Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences 5, sy. 3 (Eylül 2013): 38-52.
EndNote Ayano MS (01 Eylül 2013) MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. International Journal of Engineering and Applied Sciences 5 3 38–52.
IEEE M. S. Ayano, “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”, IJEAS, c. 5, sy. 3, ss. 38–52, 2013.
ISNAD Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences 5/3 (Eylül 2013), 38-52.
JAMA Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. 2013;5:38–52.
MLA Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences, c. 5, sy. 3, 2013, ss. 38-52.
Vancouver Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. 2013;5(3):38-52.

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